A133847 - OEIS

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A133847

a(n)a(n-9)=a(n-1)a(n-8)+a(n-4)+a(n-5) with initial terms a(1)=...=a(9)=1.

1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 5, 7, 9, 13, 21, 33, 49, 169, 293, 421, 553, 823, 1365, 2179, 3265, 11289, 19585, 28153, 36993, 55081, 91393, 145929, 218689, 756163, 1311861, 1885783, 2477929, 3689557, 6121925, 9775033, 14648881, 50651601, 87875061 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,10`
	LINKS	`P. Heideman and E. Hogan, A New Family of Somos-Like Recurrences`
	FORMULA	`Sequence also generated by the linear recurrence 68*(u(n-8)-u(n-16))+u(n-24) with the initial 24 terms given by the quadratic recurrence.`
	MAPLE	`a := proc(n) option remember; if n<=9 then RETURN(1); else RETURN((a(n-1)*a(n-8)+a(n-4)+a(n-5))/a(n-9)); fi; end;`
	CROSSREFS	`Sequence in context: A126278 A121259 A089228 * A134180 A107220 A098758` `Adjacent sequences: A133844 A133845 A133846 * A133848 A133849 A133850`
	KEYWORD	`easy,nonn`
	AUTHOR	`Emilie Hogan (eahogan(AT)math.rutgers.edu), Sep 26 2007`

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Last modified February 17 16:49 EST 2012. Contains 206058 sequences.